On the Holder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization

被引：1

作者：

Wangkeeree, Rabian ^{[1
]}

Preechasilp, Pakkapon ^{[2
]}

机构：

[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

[2] Pibulsongkram Rajabhat Univ, Program Math, Fac Educ, Phitsanulok 65000, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

parametric generalized vector quasi-equilibrium problem; solution mapping; Holder continuity; nonlinear scalarization; SENSITIVITY-ANALYSIS; SOLUTION MAPPINGS; LOWER SEMICONTINUITY; UNIQUE SOLUTION; SET; OPTIMIZATION; EXISTENCE; STABILITY;

D O I：

10.1186/1029-242X-2014-425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using a nonlinear scalarization technique, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric generalized vector quasi-equilibrium problem with set-valued mappings. The results are different from the recent ones in the literature.

引用

页数：19

共 50 条

[1] On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization
Rabian Wangkeeree
Pakkapon Preechasilp
[J]. Journal of Inequalities and Applications, 2014
[2] HOLDER CONTINUITY OF SOLUTIONS TO PARAMETRIC VECTOR EQUILIBRIUM PROBLEMS WITH NONLINEAR SCALARIZATION
Chen, C. R.
Li, M. H.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (06) : 685 - 707
[3] Holder continuity of the unique solution to parametric vector quasiequilibrium problems via nonlinear scalarization
Chen, C. R.
[J]. POSITIVITY, 2013, 17 (01) : 133 - 150
[4] STABILITY ON PARAMETRIC STRONG SYMMETRIC QUASI-EQUILIBRIUM PROBLEMS VIA NONLINEAR SCALARIZATION
Peng, Zai-Yun
Wang, Jing-Jing
Zhao, Yong
Liang, Ren-Li
[J]. JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, 6 (04): : 393 - 406
[5] On Holder continuity of solution maps to parametric vector primal and dual equilibrium problems
Lam Quoc Anh
Pham Thanh Duoc
Tran Ngoc Tam
[J]. OPTIMIZATION, 2018, 67 (08) : 1169 - 1182
[6] On Holder continuity of approximate solution maps to vector equilibrium problems
Lam Quoc Anh
Kien Trung Nguyen
Tran Ngoc Tam
[J]. TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (06) : 1591 - 1607
[7] Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications
Qu, De-ning
Cheng, Cao-zong
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[8] HOLDER CONTINUITY OF SOLUTION MAPS TO A PARAMETRIC WEAK VECTOR EQUILIBRIUM PROBLEM
Preechasilp, P.
Wangkeeree, R.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (06): : 1751 - 1767
[9] Upper and Lower Semicontinuity of Solution Sets for Parametric Generalized Vector Quasi-equilibrium Problems
LI AI-QIN AND FAN LI-YA (School of Mathematics Sciences
[J]. Communications in Mathematical Research, 2011, 27 (01) : 1 - 5
[10] A Nonlinear Scalarization Function and Generalized Quasi-vector Equilibrium Problems
G. Y. Chen
X. Q. Yang
H. Yu
[J]. Journal of Global Optimization, 2005, 32 : 451 - 466

← 1 2 3 4 5 →